Statistics: Collected Resources

Dr. Jack L. Jackson II, Aug 9, 2021

This GeoGebra book collects all of the GeoGebra activities created by Dr. Jack L. Jackson II for the study of Probability and Statistics. It also collects many of the best probability and statistics activities created by other mathematics educators. Dr. Jackson has a YouTube channel with complete lectures for an introductory course in Probability and Statistics as well as several other classes. It includes lectures using many of the activities in this book. The channel can be found at www.YouTube.com/c/DrJackLJacksonII.

Table of Contents

  1. 1 Descriptive Statistics
    1. Statistics Vocabulary
    2. Statistical and Non-Statistical Questions
    3. Identifying Parameters & Statistics
    4. Frequency and Relative Frequency Distributions
    5. Cumulative Frequency Distributions
    6. 15-1.1 Bar Chart
    7. Bar Graph and Pie Chart Demonstration
    8. Pie Chart
    9. Bar Chart or Pie Chart?
    10. Bar Graphs and Pie Charts
    11. Probability Histogram
    12. Dynamic Stat Measures
    13. Descriptive Statistics Dot Plot Box Plot More
    14. Comparing Dot Plots
    15. Descriptive Statistics Dot Plot Box Plot 2 Data Sets
    16. Multiple Box Plots
    17. IM 6.8.14 Lesson: Comparing Mean and Median
    18. IM 6.8.14 Practice: Comparing Mean and Median
    19. Mean, Median, Mode, and Range
    20. Determining Population Trends Using a Sample Population
    21. AQR Section 17: Where's the Mean?
    22. IM 6.8.11 Lesson: Variability and MAD
    23. Step Through Basic Statistics with TI 83/84 Calculator
    24. How transformations affect the mean and standard deviation
    25. IM Alg1.1.13 Practice: More Standard Deviation
    26. Open Middle Histogram Exercise (2)
    27. Sketch a Cumulative Frequency Curve
    28. Cumulative Frequency
    29. Finding Median of a Data Set
    30. Frequency and Relative Frequency Distributions
    31. Practice Activity on MEAN, MEDIAN AND MODE
    32. AQR Section 17: Where's the Mean?
    33. Mean Median Mode -Tabulated Data with Visual Mode
    34. Visualizing the Mean of a Data Set
    35. Visualizing Data Using Dot Plots
    36. Describing Dot Plots Using the Best Measure of Variability
    37. Determining the Best Measure of Central Tendency
    38. Box and Whisker Plot: What Do You Notice?
    39. Range of a Herd of Cows
    40. Finding the Interquartile Range
    41. Investigating Data Using MAD
    42. Set Operations and Elements in Sets
    43. Standard Deviation Investigation
    44. Center & Spread Exploration
    45. Outlier Effect on Mean, Median, and Range
    46. Exploring Cookie Taste Test Probabilities
    47. Finding Cookie Taste Test Probabilities
    48. Frequency in Probability Models for Cookie Ingredients
    49. Comparing Random and Biased Samples of Population
    50. Book Moving Mode
    51. In-Game Mode
    52. Finding the Mode of a Set
    53. Bar Graphs
    54. Interpreting Bar Graphs
    55. Exploring a Cityscape Bar Graph
    56. Building a Cityscape Bar Graph
    57. Creating Line Plots
    58. Creating Line Plots and Tables
    59. Drawing Box-and-Whisker Plots
    60. Interpreting Circle Graphs
    61. Comparing Box-and-Whisker and Dot Plots
    62. Creating Dot Plots
    63. Graph the Line
    64. Creating Double Line Graphs
    65. Creating Histograms from Data About a Popcorn Party
    66. Creating Histograms from a Data Table About a Popcorn Party
    67. Interpreting a Histogram About a Popcorn Party
    68. Constructing a Histogram
    69. Clusters and Outliers
  2. 2. Discrete Probability
    1. Experimental Probability Spinner
    2. Spinning Likelihood
    3. Playing Card Tool (SVG)
    4. Want to bet on it? #3 SIMULATION From Brilliant.org
    5. The Birthday Paradox Simulation
    6. Probability
    7. Probability: Selecting Balls
    8. Determining the Sample Space of an Event by Building Furry Friends
    9. Venn diagram calculator
    10. Venn Diagrams
    11. Notation for Set Operations
    12. Venn Diagrams for Statements about Two Sets
    13. Venn diagram
    14. Set Notation & Venn Diagrams
    15. Venn Diagrams
    16. Determining the Complement of a Spinner Event
    17. Non-transitive Spinners
    18. Probability and Tree Diagram
    19. Balls in a box
    20. tree-diagram
    21. Tree diagram and binomial coefficients
    22. Binomial and Hypergeometric Probability Trees
    23. Hypergeometric, Binomial, and Normal Probability
    24. Probability Calculator
    25. Two Probability Trees A
    26. Two Probability Trees B
    27. planche de Galton
    28. Coin Flip Simulation
    29. Calculating Probability Using a Pinball Simulation
    30. Finding Probabilities: Spinner
    31. Finding Probabilities: Jar of Marbles
    32. Possible Probability Outcomes With and Without Replacement
    33. Probabilities With and Without Replacement
    34. Calculating Compound Probabilities
    35. Probability Estimation Using Simulation
    36. Venn Diagram Word Problems
    37. Finding the Missing Value in Venn Diagrams
  3. 3. Continuous Probability
    1. Probability Calculator
    2. Normal distribution
    3. Student-t vs. Z
    4. Hypergeometric, Binomial, and Normal Probability
    5. Distributions Related to the Normal Distribution
    6. Sampling Distribution of the Mean
    7. Central Limit Theorem Demonstration
  4. 4. Inferential Statistics
    1. Predicting Population Trends Based on a Sample Population
    2. Probability Calculator
    3. T estimate of a mean
    4. Hypothesis Test: Right Tail, Normal Distribution
    5. Hypothesis testing
    6. Confidence Interval for a Proportion
  5. 5. Regression and Correlation
    1. Introduction to the Correlation Coefficient
    2. Linear vs. Nonlinear Relationships in Scatter Plots
    3. Sprinkler System Line of Best Fit
    4. Scales and Intervals in Graphs
    5. Finding the Right Quadrant and Scale
    6. Outliers in Scatter Plots
    7. Finding the Outlier in a Table
    8. Table to Scatter Plot
    9. Creating Scatter Plots

1.

1 Descriptive Statistics

  • 1. Statistics Vocabulary
  • 2. Statistical and Non-Statistical Questions
  • 3. Identifying Parameters & Statistics
  • 4. Frequency and Relative Frequency Distributions
  • 5. Cumulative Frequency Distributions
  • 6. 15-1.1 Bar Chart
  • 7. Bar Graph and Pie Chart Demonstration
  • 8. Pie Chart
  • 9. Bar Chart or Pie Chart?
  • 10. Bar Graphs and Pie Charts
  • 11. Probability Histogram
  • 12. Dynamic Stat Measures
  • 13. Descriptive Statistics Dot Plot Box Plot More
  • 14. Comparing Dot Plots
  • 15. Descriptive Statistics Dot Plot Box Plot 2 Data Sets
  • 16. Multiple Box Plots
  • 17. IM 6.8.14 Lesson: Comparing Mean and Median
  • 18. IM 6.8.14 Practice: Comparing Mean and Median
  • 19. Mean, Median, Mode, and Range
  • 20. Determining Population Trends Using a Sample Population
  • 21. AQR Section 17: Where's the Mean?
  • 22. IM 6.8.11 Lesson: Variability and MAD
  • 23. Step Through Basic Statistics with TI 83/84 Calculator
  • 24. How transformations affect the mean and standard deviation
  • 25. IM Alg1.1.13 Practice: More Standard Deviation
  • 26. Open Middle Histogram Exercise (2)
  • 27. Sketch a Cumulative Frequency Curve
  • 28. Cumulative Frequency
  • 29. Finding Median of a Data Set
  • 30. Frequency and Relative Frequency Distributions
  • 31. Practice Activity on MEAN, MEDIAN AND MODE
  • 32. AQR Section 17: Where's the Mean?
  • 33. Mean Median Mode -Tabulated Data with Visual Mode
  • 34. Visualizing the Mean of a Data Set
  • 35. Visualizing Data Using Dot Plots
  • 36. Describing Dot Plots Using the Best Measure of Variability
  • 37. Determining the Best Measure of Central Tendency
  • 38. Box and Whisker Plot: What Do You Notice?
  • 39. Range of a Herd of Cows
  • 40. Finding the Interquartile Range
  • 41. Investigating Data Using MAD
  • 42. Set Operations and Elements in Sets
  • 43. Standard Deviation Investigation
  • 44. Center & Spread Exploration
  • 45. Outlier Effect on Mean, Median, and Range
  • 46. Exploring Cookie Taste Test Probabilities
  • 47. Finding Cookie Taste Test Probabilities
  • 48. Frequency in Probability Models for Cookie Ingredients
  • 49. Comparing Random and Biased Samples of Population
  • 50. Book Moving Mode
  • 51. In-Game Mode
  • 52. Finding the Mode of a Set
  • 53. Bar Graphs
  • 54. Interpreting Bar Graphs
  • 55. Exploring a Cityscape Bar Graph
  • 56. Building a Cityscape Bar Graph
  • 57. Creating Line Plots
  • 58. Creating Line Plots and Tables
  • 59. Drawing Box-and-Whisker Plots
  • 60. Interpreting Circle Graphs
  • 61. Comparing Box-and-Whisker and Dot Plots
  • 62. Creating Dot Plots
  • 63. Graph the Line
  • 64. Creating Double Line Graphs
  • 65. Creating Histograms from Data About a Popcorn Party
  • 66. Creating Histograms from a Data Table About a Popcorn Party
  • 67. Interpreting a Histogram About a Popcorn Party
  • 68. Constructing a Histogram
  • 69. Clusters and Outliers

1.1.

Statistics Vocabulary

Edited from Shanlee's Keywords & Definitions for Statistics Worksheet
– Edward Knote

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2.

2. Discrete Probability

  • 1. Experimental Probability Spinner
  • 2. Spinning Likelihood
  • 3. Playing Card Tool (SVG)
  • 4. Want to bet on it? #3 SIMULATION From Brilliant.org
  • 5. The Birthday Paradox Simulation
  • 6. Probability
  • 7. Probability: Selecting Balls
  • 8. Determining the Sample Space of an Event by Building Furry Friends
  • 9. Venn diagram calculator
  • 10. Venn Diagrams
  • 11. Notation for Set Operations
  • 12. Venn Diagrams for Statements about Two Sets
  • 13. Venn diagram
  • 14. Set Notation & Venn Diagrams
  • 15. Venn Diagrams
  • 16. Determining the Complement of a Spinner Event
  • 17. Non-transitive Spinners
  • 18. Probability and Tree Diagram
  • 19. Balls in a box
  • 20. tree-diagram
  • 21. Tree diagram and binomial coefficients
  • 22. Binomial and Hypergeometric Probability Trees
  • 23. Hypergeometric, Binomial, and Normal Probability
  • 24. Probability Calculator
  • 25. Two Probability Trees A
  • 26. Two Probability Trees B
  • 27. planche de Galton
  • 28. Coin Flip Simulation
  • 29. Calculating Probability Using a Pinball Simulation
  • 30. Finding Probabilities: Spinner
  • 31. Finding Probabilities: Jar of Marbles
  • 32. Possible Probability Outcomes With and Without Replacement
  • 33. Probabilities With and Without Replacement
  • 34. Calculating Compound Probabilities
  • 35. Probability Estimation Using Simulation
  • 36. Venn Diagram Word Problems
  • 37. Finding the Missing Value in Venn Diagrams

2.1.

Experimental Probability Spinner

Press "Spin" to make the spinner land on a random color.[br]The Spinner will calculate the experimental probability after each trial.[br]Press "Reset" to start over.
1. What do you think the probability should be for each color, before using the spinner?[br][br]2. How does the experimental probability compare to the anticipated probability?
– Samantha Garcia

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3. Continuous Probability

  • 1. Probability Calculator
  • 2. Normal distribution
  • 3. Student-t vs. Z
  • 4. Hypergeometric, Binomial, and Normal Probability
  • 5. Distributions Related to the Normal Distribution
  • 6. Sampling Distribution of the Mean
  • 7. Central Limit Theorem Demonstration

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– Dr. Jack L. Jackson II

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4. Inferential Statistics

  • 1. Predicting Population Trends Based on a Sample Population
  • 2. Probability Calculator
  • 3. T estimate of a mean
  • 4. Hypothesis Test: Right Tail, Normal Distribution
  • 5. Hypothesis testing
  • 6. Confidence Interval for a Proportion

4.1.

Predicting Population Trends Based on a Sample Population

Make predictions based on sample population surveys in this activity.
– GeoGebra Content Team

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5. Regression and Correlation

  • 1. Introduction to the Correlation Coefficient
  • 2. Linear vs. Nonlinear Relationships in Scatter Plots
  • 3. Sprinkler System Line of Best Fit
  • 4. Scales and Intervals in Graphs
  • 5. Finding the Right Quadrant and Scale
  • 6. Outliers in Scatter Plots
  • 7. Finding the Outlier in a Table
  • 8. Table to Scatter Plot
  • 9. Creating Scatter Plots

5.1.

Introduction to the Correlation Coefficient

Explore how data sets correspond to the correlation coefficient and interpret its meaning.
Putting It All Together
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
What does it mean when [math]r=-1[/math]?
What does it mean when [math]r=1[/math]?
In your own words, describe what a data set might look like if [math]r=-0.2[/math]?
If you are told a data set shows a linear relationship, what could you expect to see for the correlation coefficient [math]r[/math]?
– GeoGebra Content Team

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